Finding the Fourth Proportional to 470,354,152.68, 649,125,087.84 and 282,189,527.82
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Solution
The fourth proportional to 470,354,152.68, 649,125,087.84 and 282,189,527.82 is: 389,443,360.90
Step by Step Solution
- Step 1: Write the proportion equation
470,354,152.68 : 649,125,087.84 = 282,189,527.82 : x - Step 2: Convert to fraction form
470,354,152.68/649,125,087.84 = 282,189,527.82/x - Step 3: Cross multiply
470,354,152.68x = 649,125,087.84 × 282,189,527.82 - Step 4: Simplify right side
470,354,152.68x = 183,176,302,033,685,632 - Step 5: Solve for x
x = 183,176,302,033,685,632/470,354,152.68 - Step 6: Final answer
x = 389,443,360.90
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.